Exact large deviation bounds up toTc for the Ising model in two dimensions
- Cite this article as:
- Ioffe, D. Probab. Th. Rel. Fields (1995) 102: 313. doi:10.1007/BF01192464
We prove an upper large deviation bound for the block spin magnetization in the 2D Ising model in the phase coexistence region. The precise rate (given by the Wulff construction) is shown to hold true for all β > βc. Combined with the lower bounds derived in [I] those results yield an exact second order large deviation theory up to the critical temperature.
Mathematics Subject Classification60F10 82B20 82B24 82B43
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